Physics – Geophysics
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gapfd..33..185f&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 33, Aug. 1985, p. 185-197. SERC-supported research.
Physics
Geophysics
19
Axial Flow, Magnetic Field Configurations, Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Rotating Plasmas, Annuli, Cylindrical Coordinates, Flow Distribution, Geophysics, Polar Coordinates, Toroidal Plasmas
Scientific paper
The linear stability of an axial magnetic field surrounded by a rotating cylindrical annulus is analyzed. The linear stability equations of Achehson (1983) governing a toroidal field are modified to account for the boundary conditions of the axial field. A simple instability criterion is obtained which can be applied to various field geometries. In one example, a poloidal magnetic field with strength only 10 percent of that of a toroidal field, the critical Elasser number Lambda sub c was reduced by an order of magnitude. Resistive instabilities in the axial field are also analyzed, and the essential instability conditions are given. It is shown that the instability of the axial field may have a stabilizing or destabilizing effect depending on the parameters of the toroidal magnetic field and the constraints on the wave vector. Some sample numerical results are presented.
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